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Finding the Fourth Proportional to 5,383.82, 8,076.82 and 1,685.90

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Solution

The fourth proportional to 5,383.82, 8,076.82 and 1,685.90 is: 2,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.82 : 8,076.82 = 1,685.90 : x
  2. Step 2: Convert to fraction form
    5,383.82/8,076.82 = 1,685.90/x
  3. Step 3: Cross multiply
    5,383.82x = 8,076.82 × 1,685.90
  4. Step 4: Simplify right side
    5,383.82x = 13,616,710.84
  5. Step 5: Solve for x
    x = 13,616,710.84/5,383.82
  6. Step 6: Final answer
    x = 2,529.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.